Skip to main content

MORPHOLOGICAL NORMALIZED BINARY OBJECT METAMORPHOSIS

  • Chapter
Computer Vision and Graphics

Part of the book series: Computational Imaging and Vision ((CIVI,volume 32))

Abstract

The paper describes a method for binary 2D and 3D object metamorphosis using a normalized morphological interpolation function and a mask. Comparing with the existing methods the proposed one has two important advantages: the normalization of the interpolation function and the new formulation of the interpolator. The first one allows obtaining steady and smooth transformation of the area (volume) of the interpolated objects. The new formulation of the interpolator introduces a mask inside which the interpolation is performed. Owing to the the mask one can define the area inside which the interpolation is performed. The new kind of mask is also proposed - it is equal to the convex hull of both input objects. In the paper also two examples of the interpolation of 2D and 3D objects are given. The method can be applied to image reconstruction, as well as for the computer-aided animations.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Beucher S., Interpolation of sets, of partitions and of functions, in H. Heijmans and J. Roerdink Mathematical Morphology and Its Application to Image and Signal Processing, Kluwer, 1998.

    Google Scholar 

  2. Borgefors G., Nyström I., Sanniti di Baja G., Computing covering polyhedra of non-convex objects, in Proceedings of 5th British Machine Vision Conference, York, UK, pp. 275-284, 1994.

    Google Scholar 

  3. Iwanowski M., Serra J., Morphological-affine object deformation, in L. Vincent and D. Bloomberg, Mathematical Morphology and Its Application to Image and Signal Processing, pp.82-90, Kluwer, 2000.

    Google Scholar 

  4. Iwanowski M., Application of mathematical morphology to interpolation of digital images Ph. D. thesis,Warsaw University of Technology, School of Mines of Paris,Warsaw-Fontainebleau 2000.

    Google Scholar 

  5. Iwanowski M., Morphological binary interpolation with convex mask, Proc. of Int. Conf. on Computer Vision and Graphics, Zakopane, Poland 2002.

    Google Scholar 

  6. Lazarus F., Verroust A., Three-dimensional metamorphosis: a survey, The Visual Computer vol.14, pp.373-389, 1998.

    Google Scholar 

  7. Meyer F., Morphological interpolation method for mosaic images, in P. Maragos, R. W. Schafer, M. A. Butt, Mathematical Morphology and Its Application to Image and Signal Processing, Kluwer, 1996.

    Google Scholar 

  8. Serra J., Image Analysis and Mathematical Morphology vol.1, Academic Press, 1982.

    Google Scholar 

  9. Serra J., Image Analysis and Mathematical Morphology vol.2, Academic Press, 1988.

    Google Scholar 

  10. Serra J., Hausdorff distance and interpolations, in H. Heijmans and J. Roerdink, Mathematical Morphology and Its Application to Image and Signal Processing, Kluwer, 2003.

    Google Scholar 

  11. Soille P., Morphological Image Analysis - Principles and Applications, Springer Verlag, 1999, 2003.

    Google Scholar 

  12. Soille P., Spatial distributions from the contour lines: an efficient methodology based on distance transformation, J. of Visual Communication and Image Representation 2(2), June 1991, pp. 138-150.

    Google Scholar 

  13. Vincent L., Exact Euclidean distance function by chain propagations, Proc. IEEE Computer Vision and Pattern Recognition, 1991, pp. 520-525.

    Google Scholar 

  14. Wolberg G., Image morphing: a survey, The Visual Computer vol.14, pp.360-372, 1998.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this chapter

Cite this chapter

Iwanowski, M. (2006). MORPHOLOGICAL NORMALIZED BINARY OBJECT METAMORPHOSIS. In: Wojciechowski, K., Smolka, B., Palus, H., Kozera, R., Skarbek, W., Noakes, L. (eds) Computer Vision and Graphics. Computational Imaging and Vision, vol 32. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4179-9_90

Download citation

  • DOI: https://doi.org/10.1007/1-4020-4179-9_90

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-4178-5

  • Online ISBN: 978-1-4020-4179-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics